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Finding the Third Proportional to 321,574 and 473,046

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Solution

The third proportional to 321,574 and 473,046 is: 695,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,574 : 473,046 = 473,046 : x
  2. Step 2: Convert to fraction form
    321,574/473,046 = 473,046/x
  3. Step 3: Cross multiply
    321,574x = 473,046 × 473,046
  4. Step 4: Simplify right side
    321,574x = 223,772,518,116
  5. Step 5: Solve for x
    x = 223,772,518,116/321,574
  6. Step 6: Final answer
    x = 695,866.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.